629
629 is a odd composite number that follows 628 and precedes 630. It is composed of 4 distinct factors: 1, 17, 37, 629. Its prime factorization can be written as 17 × 37. 629 is classified as a deficient number based on the sum of its proper divisors. In computer science, 629 is represented as 1001110101 in binary and 275 in hexadecimal. Historically, it is written as DCXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 37) reveals 2 prime building blocks.
Divisible by 2
629 ends in 9, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 29 are not divisible by 4.
Divisible by 5
629 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 17 is not a multiple of 9.
Divisible by 10
629 does not end in 0.
Divisible by 11
The alternating digit sum 13 is not a multiple of 11.
Deficient classification and digit analytics place 629 within several notable number theory sequences:
Timeline
Deep dive
How 629 breaks down
629 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 55, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110101 supports bitwise reasoning, hexadecimal 275 aligns with computing notation, and the Roman numeral DCXXIX keeps the encyclopedic tradition alive. These attributes make 629 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 629 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (624–634) to tune search ranges, and educators feature 629 in worksheets about factor trees. Its binary footprint of length 10 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 629 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 629
Is 629 a prime number?
629 is composite with 4 total factors and the prime factorization 17 × 37.
What is the prime factorization of 629?
It breaks down as 17 × 37, multiplying the primes 17 × 37.
How is 629 represented in binary and hexadecimal?
629 converts to 1001110101 in binary and 275 in hexadecimal, which are helpful for computer science applications.
Is 629 a perfect square, cube, or triangular number?
629 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 629?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.